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If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct point P and Q then the lines 5x + by – a = 0 passes through P and Q for -
[AIEEE-2005]
  • a)
    exactly one value of a
  • b)
    no value of a
  • c)
    infinitely many values of a
  • d)
    exactly two values of a
Correct answer is option 'B'. Can you explain this answer?
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If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy...
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If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy...
PQ is common chord equation of PQ is S1 - S2 = 0
⇒ 5ax + (c - d) y + a + 1 = 0 also PQ 5x + by - a = 0 both are identical so 

By (i) & (iii)
-a2 = a + 1
a2 + a + 1 = 0
which is always > 0
So option B is correct
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If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct point P and Q then the lines 5x + by – a = 0 passes through P and Q for -[AIEEE-2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer?
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If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct point P and Q then the lines 5x + by – a = 0 passes through P and Q for -[AIEEE-2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct point P and Q then the lines 5x + by – a = 0 passes through P and Q for -[AIEEE-2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct point P and Q then the lines 5x + by – a = 0 passes through P and Q for -[AIEEE-2005]a)exactly one value of ab)no value of ac)infinitely many values of ad)exactly two values of aCorrect answer is option 'B'. Can you explain this answer?.
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